Remarks on Cotton solitons
In this note, we show that the potential vector field of a Cotton soliton ( M , g , V ) is an infinitesimal harmonic transformation, and we use it to give another proof of the triviality of compact Cotton solitons. Moreover, we extend this triviality result to the complete case by imposing certain...
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| Veröffentlicht in: | Letters in mathematical physics 2024-07, Vol.114 (4), Article 95 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this note, we show that the potential vector field of a Cotton soliton (
M
,
g
,
V
) is an infinitesimal harmonic transformation, and we use it to give another proof of the triviality of compact Cotton solitons. Moreover, we extend this triviality result to the complete case by imposing certain regularity conditions on the potential vector field
V
. |
|---|---|
| ISSN: | 1573-0530 0377-9017 1573-0530 |
| DOI: | 10.1007/s11005-024-01840-w |